Characterization of Simple Symplectic Groups of Degree 4 over Locally Finite Fields in the Class of Periodic Groups

被引：5

作者：

Lytkina, D. V. ^{[1
,2
]}

Mazurov, V. D. ^{[2
,3
]}

机构：

[1] Siberian State Univ Telecommun & Informat Sci, Ul Kirova 86, Novosibirsk 630102, Russia

[2] Novosibirsk State Univ, Ul Pirogova 1, Novosibirsk 630090, Russia

[3] Sobolev Inst Math, Pr Akad Koptyuga 4, Novosibirsk 630090, Russia

来源：

ALGEBRA AND LOGIC | 2018年 / 57卷 / 03期

关键词：

periodic group; locally finite field; simple symplectic group;

D O I：

10.1007/s10469-018-9493-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a periodic group containing an element of order 2 such that each of its finite subgroups of even order lies in a finite subgroup isomorphic to a simple symplectic group of degree 4. It is shown that G is isomorphic to a simple symplectic group S-4(Q) of degree 4 over some locally finite field Q.

引用

页码：201 / 210

页数：10

共 11 条

[1] ON THE MAXIMAL-SUBGROUPS OF THE FINITE CLASSICAL-GROUPS [J].